Question

In the system of linear equations below, q and r are constants, The solution is (-1,4)

qx- ry = 18


rx + qy= 13


q=?
r=?

Answer 1

Answer:
`r=-5,q=2`

Explanation:

Given

The system of linear equations are

`qx-ry=18\\rx+qy=13`

It is given (-1,4) is the solution to the equations

`\therefore -q-4r=18\quad \ldots(i)\\-r+4q=13\quad \ldots(ii)`

Solve the above equation we get

`r=-5,q=2`